Mechanical Engineering Exam > Mechanical Engineering Questions > Consider the following statements:1. A gas wi...
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Consider the following statements:
1. A gas with a compressibility factor more than 1 is more compressible than a perfect gas.
2. The x and y axes of the compressibility chart are compressibility factor on y-axis and reduced pressure on x-axis.
3. The first and second derivatives of the pressure with respect to volume at critical points are zero.
Which of the statements given above is/are correct?
- a)2 and 3 only
- b)1 and 3 only
- c)1 and 2 only
- d)1, 2 and 3
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Consider the following statements:1. A gas with a compressibility fact...
1 is false. At very low pressure, all the gases shown have z ≈1 and behave nearly perfectly. At high pressure all the gases have z > 1, signifying that they are more difficult
to compress than a perfect gas (for a given molar volume, the product pv is greater than RT). Repulsive forces are now dominant. At intermediate pressure, must gasses have Z < 1, including that the attractive forces are dominant and favour compression.
to compress than a perfect gas (for a given molar volume, the product pv is greater than RT). Repulsive forces are now dominant. At intermediate pressure, must gasses have Z < 1, including that the attractive forces are dominant and favour compression.
Most Upvoted Answer
Consider the following statements:1. A gas with a compressibility fact...
The correct answer is option 'A' - 2 and 3 only. Let's analyze each statement to understand why.
1. A gas with a compressibility factor more than 1 is more compressible than a perfect gas.
Compressibility factor (Z) is defined as the ratio of the actual volume of a gas to the volume it would occupy if it behaved ideally. For an ideal gas, Z is equal to 1.
If Z is greater than 1, it means that the gas deviates from ideal behavior and is more compressible than an ideal gas. This is because the gas molecules have stronger intermolecular forces or occupy more volume than expected. Therefore, statement 1 is correct.
2. The x and y axes of the compressibility chart are compressibility factor on the y-axis and reduced pressure on the x-axis.
In a compressibility chart, the y-axis represents the compressibility factor (Z) and the x-axis represents the reduced pressure (P/Pc), where P is the actual pressure and Pc is the critical pressure of the gas.
The reduced pressure is defined as the ratio of the actual pressure to the critical pressure. It is used to normalize the pressure and make it easier to compare the behavior of different gases. Therefore, statement 2 is correct.
3. The first and second derivatives of the pressure with respect to volume at critical points are zero.
At the critical point of a gas, the first and second derivatives of the pressure with respect to volume are zero. This means that the pressure-volume relationship becomes flat and the gas exhibits unique properties.
The critical point is the highest temperature and pressure at which a gas can exist in a distinct liquid and gas phase. At this point, the gas cannot be compressed into a liquid regardless of the amount of pressure applied.
Since the derivatives of pressure with respect to volume are zero at the critical point, it indicates that the gas is undergoing a phase transition and its behavior is drastically different from non-critical conditions. Therefore, statement 3 is correct.
In conclusion, statements 2 and 3 are correct, while statement 1 is incorrect.
1. A gas with a compressibility factor more than 1 is more compressible than a perfect gas.
Compressibility factor (Z) is defined as the ratio of the actual volume of a gas to the volume it would occupy if it behaved ideally. For an ideal gas, Z is equal to 1.
If Z is greater than 1, it means that the gas deviates from ideal behavior and is more compressible than an ideal gas. This is because the gas molecules have stronger intermolecular forces or occupy more volume than expected. Therefore, statement 1 is correct.
2. The x and y axes of the compressibility chart are compressibility factor on the y-axis and reduced pressure on the x-axis.
In a compressibility chart, the y-axis represents the compressibility factor (Z) and the x-axis represents the reduced pressure (P/Pc), where P is the actual pressure and Pc is the critical pressure of the gas.
The reduced pressure is defined as the ratio of the actual pressure to the critical pressure. It is used to normalize the pressure and make it easier to compare the behavior of different gases. Therefore, statement 2 is correct.
3. The first and second derivatives of the pressure with respect to volume at critical points are zero.
At the critical point of a gas, the first and second derivatives of the pressure with respect to volume are zero. This means that the pressure-volume relationship becomes flat and the gas exhibits unique properties.
The critical point is the highest temperature and pressure at which a gas can exist in a distinct liquid and gas phase. At this point, the gas cannot be compressed into a liquid regardless of the amount of pressure applied.
Since the derivatives of pressure with respect to volume are zero at the critical point, it indicates that the gas is undergoing a phase transition and its behavior is drastically different from non-critical conditions. Therefore, statement 3 is correct.
In conclusion, statements 2 and 3 are correct, while statement 1 is incorrect.
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Consider the following statements:1. A gas with a compressibility factor more than 1 is more compressible than a perfect gas.2. The x and y axes of the compressibility chart are compressibility factor on y-axis and reduced pressure on x-axis.3. The first and second derivatives of the pressure with respect to volume at critical points are zero.Which of the statements given above is/are correct?a)2 and 3 onlyb)1 and 3 onlyc)1 and 2 onlyd)1, 2 and 3Correct answer is option 'A'. Can you explain this answer?
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Consider the following statements:1. A gas with a compressibility factor more than 1 is more compressible than a perfect gas.2. The x and y axes of the compressibility chart are compressibility factor on y-axis and reduced pressure on x-axis.3. The first and second derivatives of the pressure with respect to volume at critical points are zero.Which of the statements given above is/are correct?a)2 and 3 onlyb)1 and 3 onlyc)1 and 2 onlyd)1, 2 and 3Correct answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Consider the following statements:1. A gas with a compressibility factor more than 1 is more compressible than a perfect gas.2. The x and y axes of the compressibility chart are compressibility factor on y-axis and reduced pressure on x-axis.3. The first and second derivatives of the pressure with respect to volume at critical points are zero.Which of the statements given above is/are correct?a)2 and 3 onlyb)1 and 3 onlyc)1 and 2 onlyd)1, 2 and 3Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following statements:1. A gas with a compressibility factor more than 1 is more compressible than a perfect gas.2. The x and y axes of the compressibility chart are compressibility factor on y-axis and reduced pressure on x-axis.3. The first and second derivatives of the pressure with respect to volume at critical points are zero.Which of the statements given above is/are correct?a)2 and 3 onlyb)1 and 3 onlyc)1 and 2 onlyd)1, 2 and 3Correct answer is option 'A'. Can you explain this answer?.
Consider the following statements:1. A gas with a compressibility factor more than 1 is more compressible than a perfect gas.2. The x and y axes of the compressibility chart are compressibility factor on y-axis and reduced pressure on x-axis.3. The first and second derivatives of the pressure with respect to volume at critical points are zero.Which of the statements given above is/are correct?a)2 and 3 onlyb)1 and 3 onlyc)1 and 2 onlyd)1, 2 and 3Correct answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Consider the following statements:1. A gas with a compressibility factor more than 1 is more compressible than a perfect gas.2. The x and y axes of the compressibility chart are compressibility factor on y-axis and reduced pressure on x-axis.3. The first and second derivatives of the pressure with respect to volume at critical points are zero.Which of the statements given above is/are correct?a)2 and 3 onlyb)1 and 3 onlyc)1 and 2 onlyd)1, 2 and 3Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following statements:1. A gas with a compressibility factor more than 1 is more compressible than a perfect gas.2. The x and y axes of the compressibility chart are compressibility factor on y-axis and reduced pressure on x-axis.3. The first and second derivatives of the pressure with respect to volume at critical points are zero.Which of the statements given above is/are correct?a)2 and 3 onlyb)1 and 3 onlyc)1 and 2 onlyd)1, 2 and 3Correct answer is option 'A'. Can you explain this answer?.
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